Hi please use the given information to answer each part of the problem and please include a short explanation, drawing, or steps/formulas to improve my understanding of the problem. Please let me know if there's any questions, thank you!

The average wind Speed over a certain period of time, e.g., 15min or 1hr, at a location is modeled by a Weibull distribution with cdf 8 k 173(3) = 1 e(A) for s 2 0, and 173(3) = 0, otherwise, where k > 0 and A > 0 are called the shape and scale of the distribution. Note that the Exp()\\) distribution is a special case of the Weibull distribution when k = 1. (3.) Plot on the same gure the pdf of S for A = 1, k = 0.1,1,2,5. (b) The average power P generated by a wind turbine is proportional to the cube of S, i.e., P = (183 for some a > 0. Find the pdf of P. You may use a tool such as W01- fram Alpha to nd derivatives. https: / / www.wolframalpha.com / input / ?i=derivative (0) Using a. = 0.008256, /\\ = 10.177, k = 2.165, plot the pdf of P. We will have another problem on wind power generation later in the course (these numbers were determined by tting actual wind data)